On eigenfunction expansion of solutions to the Hamilton equations
arXiv:1308.0485 · doi:10.1007/s10955-013-0846-1
Abstract
We establish a spectral representation for solutions to linear Hamilton equations with positive definite energy in a Hilbert space. Our approach is a special version of M. Krein's spectral theory of J-selfadjoint operators is the Hilbert spaces with an indefinite metric. Our main result is an application to the eigenfunction expansion for the linearized relativistic Ginzburg-Landau equation.
18 pages, 0 figures
References in corpus (1)
Cited by in corpus (6)
- Attractors of Hamilton nonlinear partial differential equations
- Attractors of nonlinear Hamiltonian PDEs
- On linear stability of crystals in the Schroedinger-Poisson model
- A note on J-positive block operator matrices
- On stability of solid state in the Schrödinger-Poisson-Newton model
- On the dispersion decay for crystals in the linearized Schrödinger-Poisson model